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Finding the Fourth Proportional to 6,969.32, 9,617.38 and 4,176.36

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Solution

The fourth proportional to 6,969.32, 9,617.38 and 4,176.36 is: 5,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.32 : 9,617.38 = 4,176.36 : x
  2. Step 2: Convert to fraction form
    6,969.32/9,617.38 = 4,176.36/x
  3. Step 3: Cross multiply
    6,969.32x = 9,617.38 × 4,176.36
  4. Step 4: Simplify right side
    6,969.32x = 40,165,641.14
  5. Step 5: Solve for x
    x = 40,165,641.14/6,969.32
  6. Step 6: Final answer
    x = 5,763.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.